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Finding the Third Proportional to 2,108.06 and 4,619.44

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Solution

The third proportional to 2,108.06 and 4,619.44 is: 10,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 4,619.44 = 4,619.44 : x
  2. Step 2: Convert to fraction form
    2,108.06/4,619.44 = 4,619.44/x
  3. Step 3: Cross multiply
    2,108.06x = 4,619.44 × 4,619.44
  4. Step 4: Simplify right side
    2,108.06x = 21,339,202.82
  5. Step 5: Solve for x
    x = 21,339,202.82/2,108.06
  6. Step 6: Final answer
    x = 10,122.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.